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Finding the Fourth Proportional to 210,986.82, 316,470.51 and 77,858.46

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Solution

The fourth proportional to 210,986.82, 316,470.51 and 77,858.46 is: 116,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,986.82 : 316,470.51 = 77,858.46 : x
  2. Step 2: Convert to fraction form
    210,986.82/316,470.51 = 77,858.46/x
  3. Step 3: Cross multiply
    210,986.82x = 316,470.51 × 77,858.46
  4. Step 4: Simplify right side
    210,986.82x = 24,639,906,544.01
  5. Step 5: Solve for x
    x = 24,639,906,544.01/210,986.82
  6. Step 6: Final answer
    x = 116,784.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.